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Merge pull request #799 from Parallel-in-Time/bibtex-bibbot-798-e71acf7
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pancetta committed May 16, 2024
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Expand Up @@ -7025,6 +7025,15 @@ @article{Park2024
year = {2024},
}

@unpublished{Scheiber2024,
abstract = {The subject of the paper is to verify the convergence conditions for the parareal algorithm using Gander and Hairer's theorem . The analysis is conducted in the case where the coarse integrator is the Euler method and the high-accuracy integrator is an explicit Runge-Kutta type method.},
author = {Ernest Scheiber},
howpublished = {arXiv:2405.06954v1 [math.NA]},
title = {A Convergence Theorem for the Parareal Algorithm Revisited},
url = {http://arxiv.org/abs/2405.06954v1},
year = {2024},
}

@unpublished{SchnaubeltEtAl2024,
abstract = {High-temperature superconductors (HTS) have the potential to enable magnetic fields beyond the current limits of low-temperature superconductors in applications like accelerator magnets. However, the design of HTS-based magnets requires computationally demanding transient multi-physics simulations with highly non-linear material properties. To reduce the solution time, we propose using Parareal (PR) for parallel-in-time magneto-thermal simulation of magnets based on HTS, particularly, no-insulation coils without turn-to-turn insulation. We propose extending the classical PR method to automatically find a time partitioning using a first coarse adaptive propagator. The proposed PR method is shown to reduce the computing time when fine engineering tolerances are required despite the highly nonlinear character of the problem. The full software stack used is open-source.},
author = {Erik Schnaubelt and Mariusz Wozniak and Julien Dular and Idoia Cortes Garcia and Arjan Verweij and Sebastian Schöps},
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